Ch 47: WEST Middle Grades Math: Circles

About This Chapter

Washington now uses the NES Middle Grades Math exam to assess prospective middle school math teachers. You can use the video lessons and quizzes in this chapter to prepare for questions related to the properties and parts of a circle.

WEST Middle Grades Math: Circles - Chapter Summary

This chapter includes a variety of lessons that demonstrate formulas for working with circles in preparation for the WEST Middle Grades Math exam. Instructors provide examples for finding the radius, area and circumference of circles, semicircles and quarter circles. Specific topics covered in these videos include:

  • Identifying the parts of circle
  • Examples of central and inscribed angles
  • Determining the radius, diameter, area and circumference of a circle
  • Finding the perimeter and area of a semicircle
  • Calculating area, perimeter and radius of a quarter circle
  • Solving word problems that include circles

Our instructors are subject-matter experts who show you how to solve a variety of math problems that include circles. After viewing the short video lessons, you can use the embedded video tags to review problem areas and then test your comprehension through the self-assessment quizzes and end-of-chapter test.

WEST Middle Grades Math: Circles Chapter Objectives

Washington has replaced the WEST Middle Grades Math examination with a National Evaluation Series (NES) test for this subject area. This test is used to assess the knowledge and skills of those wishing to teach basic math at the middle school level. This computer-based math exam includes 150 multiple-choice questions, and you have 255 minutes to complete it. The questions come from four content areas:

  • Number sense and operations
  • Algebra and functions
  • Measurement and geometry
  • Statistics, probability and discrete mathematics

Questions on circles can be found within the measurement and geometry content area, which makes up 25% of the 150 questions on the test as a whole. These questions may ask you to estimate or calculate the perimeter or area of various shapes, including circles. You can get practical experience in solving these types of problems through the self-assessment quizzes at the end of each of the lessons in this chapter.

8 Lessons in Chapter 47: WEST Middle Grades Math: Circles
Test your knowledge with a 30-question chapter practice test
Parts of a Circle

1. Parts of a Circle

After watching this video lesson, you will be able to identify the parts of a circle. You will learn the names of four different parts of a circle along with what each part does for the circle.

Central and Inscribed Angles: Definitions and Examples

2. Central and Inscribed Angles: Definitions and Examples

When we're working with circles, there are two key angles to know: central angles and inscribed angles. These angles have a few special theorems, which we'll discuss and practice using in this lesson.

How to Find the Radius of a Circle: Definition & Formula

3. How to Find the Radius of a Circle: Definition & Formula

In this lesson, you will discover the definition of a radius. You will also learn how to find the radius of a circle using three different formulas based on diameter, circumference, and area.

How to Find the Diameter of a Circle: Definition, Formula & Example

4. How to Find the Diameter of a Circle: Definition, Formula & Example

Learn the definition of the diameter of a circle and how to find it using a simple formula. See some examples, then test your knowledge with a short quiz.

Circles: Area and Circumference

5. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

Semicircle: Definition, Perimeter & Area Formulas

6. Semicircle: Definition, Perimeter & Area Formulas

In this lesson, you'll discover what a semicircle is. You'll also discover the formulas for perimeter and area that will work on every semicircle. Then, test your knowledge by taking a brief quiz.

Quarter Circles: Calculating Area, Perimeter & Radius

7. Quarter Circles: Calculating Area, Perimeter & Radius

Watch as we solve problems involving the quarter circle in this video lesson. Learn what quarter circles look like, how to find their area, their perimeter, and their radius.

Circles in Word Problems

8. Circles in Word Problems

Watch this video lesson to learn how you can solve word problems that involve circles. Learn how the properties of circles make your problem-solving life that much easier and quicker.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the WEST Middle Grades Mathematics (203): Practice & Study Guide course

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